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211052249478 = 232728352311317
BaseRepresentation
bin1100010010001110110…
…0011100000110000110
3202011202121001010112200
43010203230130012012
511424213333440403
6240542302055330
721151033343460
oct3044354340606
9664677033480
10211052249478
1181563546884
1234aa0b7a546
1316b9600ba75
14a301cb3130
1557538d4ca3
hex3123b1c186

211052249478 has 96 divisors (see below), whose sum is σ = 525501440256. Its totient is φ = 59967376704.

The previous prime is 211052249477. The next prime is 211052249479. The reversal of 211052249478 is 874942250112.

211052249478 is a `hidden beast` number, since 2 + 1 + 10 + 522 + 49 + 4 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (211052249477) and next prime (211052249479).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211052249477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18643476 + ... + 18654792.

It is an arithmetic number, because the mean of its divisors is an integer number (5473973336).

Almost surely, 2211052249478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211052249478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262750720128).

211052249478 is an abundant number, since it is smaller than the sum of its proper divisors (314449190778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211052249478 is a wasteful number, since it uses less digits than its factorization.

211052249478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 211052249478 in words is "two hundred eleven billion, fifty-two million, two hundred forty-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 523 566 849 1046 1569 1698 1981 2547 3138 3661 3962 4707 5094 5943 7322 9414 10983 11317 11886 17829 21966 22634 32949 33951 35658 65898 67902 79219 101853 148009 158438 203706 237657 296018 444027 475314 712971 888054 1036063 1332081 1425942 2072126 2664162 3108189 3202711 5918791 6216378 6405422 9324567 9608133 11837582 17756373 18649134 19216266 22418977 28824399 35512746 41431537 44837954 53269119 57648798 67256931 82863074 106538238 124294611 134513862 201770793 248589222 372883833 403541586 745767666 1675017853 3350035706 5025053559 10050107118 11725124971 15075160677 23450249942 30150321354 35175374913 70350749826 105526124739 211052249478